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Finding the Fourth Proportional to 214,602.52, 296,151.40 and 119,109.16

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Solution

The fourth proportional to 214,602.52, 296,151.40 and 119,109.16 is: 164,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,602.52 : 296,151.40 = 119,109.16 : x
  2. Step 2: Convert to fraction form
    214,602.52/296,151.40 = 119,109.16/x
  3. Step 3: Cross multiply
    214,602.52x = 296,151.40 × 119,109.16
  4. Step 4: Simplify right side
    214,602.52x = 35,274,344,486.82
  5. Step 5: Solve for x
    x = 35,274,344,486.82/214,602.52
  6. Step 6: Final answer
    x = 164,370.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.